A Remark on the Nonequivalence of the Time-Zero $\phi_3^4$-Measure with the Free Field Measure

#### S. Albeverio, S. Liang

2008, v.14, Issue 1, 159-164

ABSTRACT

By using the theory of representations of CCR, we show that the probability measures associated with the time zero $\phi_3^4$-quantum field model with interaction in a bounded region respectively the free field probability measure are not equivalent.

Keywords: quantum fields,$\phi_3^4$-model,singularity,Weyl system,representations of canonical commutation relations